Pith Number

pith:WUTZ26XI

pith:2017:WUTZ26XIB5PAPIBG6MN7E45IL6

not attested not anchored not stored refs pending

On a skewed and multifractal uni-dimensional random field, as a probabilistic representation of Kolmogorov's views on turbulence

Christophe Garban, Laurent Chevillard, R\'emi Rhodes, Vincent Vargas

arxiv:1712.00332 v1 · 2017-12-01 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUTZ26XIB5PAPIBG6MN7E45IL6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:29:06.553352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5279d7ae80f5e07a026f31bf273a85fab0e23ccc4c5682036540fbb7fbd1b30

Aliases

arxiv: 1712.00332 · arxiv_version: 1712.00332v1 · doi: 10.48550/arxiv.1712.00332 · pith_short_12: WUTZ26XIB5PA · pith_short_16: WUTZ26XIB5PAPIBG · pith_short_8: WUTZ26XI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WUTZ26XIB5PAPIBG6MN7E45IL6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b5279d7ae80f5e07a026f31bf273a85fab0e23ccc4c5682036540fbb7fbd1b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f03c52421f7d82bbf6eb8ae5a80508ce463782efd2492b388ab7d06695f4f9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-01T14:23:16Z",
    "title_canon_sha256": "0cb8e254c9ff2d08bab6f48ddd64eab431958ca534ea07d845717a4ba01ec365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00332",
    "kind": "arxiv",
    "version": 1
  }
}